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Finding the Fourth Proportional to 4,101.54, 6,145.01 and 2,346.47

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Solution

The fourth proportional to 4,101.54, 6,145.01 and 2,346.47 is: 3,515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.54 : 6,145.01 = 2,346.47 : x
  2. Step 2: Convert to fraction form
    4,101.54/6,145.01 = 2,346.47/x
  3. Step 3: Cross multiply
    4,101.54x = 6,145.01 × 2,346.47
  4. Step 4: Simplify right side
    4,101.54x = 14,419,084.20
  5. Step 5: Solve for x
    x = 14,419,084.20/4,101.54
  6. Step 6: Final answer
    x = 3,515.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.